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icang [17]
2 years ago
10

g Two different factories named A and B both produce an automobile part. If a part came from A, the probability that the part is

defective is .04. If the part came from B, the probability that it is defective is .05. In a sample of 180 parts, 100 came from A and 80 came from B. (a) What is the probability that a part chosen at random (from the sample) was defective
Mathematics
1 answer:
Fed [463]2 years ago
3 0

Answer:

0.0444 = 4.44% probability that a part chosen at random (from the sample) was defective.

Step-by-step explanation:

Probability of a defective part:

0.04 of \frac{100}{180}, that is, coming from A.

0.05 of \frac{80}{180}, that is, coming from B. So

p = 0.04\frac{100}{180} + 0.05\frac{80}{180} = \frac{0.04*100 + 0.05*80}{180} = 0.0444

0.0444 = 4.44% probability that a part chosen at random (from the sample) was defective.

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You went out to lunch with three friends and your subtotal was $42 not including the sales tax of 6%.
Lady_Fox [76]

Answer:

It's DEFINITELY 2.52

Step-by-step explanation:

Change 6% to a decimal, which will be .06! Times $42 Times.06 and you'll end with the answer $2.52 !!!

6 0
3 years ago
Kelvin finished $\frac{2}{3}$ 2 3​​ of his test in a $\frac{1}{2}$ 1 2​​ hour. Express this rate in hours per test.
svet-max [94.6K]

Complete Question

Kelvin finished 2/3​​ of his test in a 1/2​​ hour. Express this rate in hours per test.

Answer:

3/4 hours per test

Step-by-step explanation:

2/3 of his test = 1/2 hour

This rate in hours per test is calculated as:

x = 1/2 /2/3

x = 1/2 hour ÷ 2/3 test

x = 1/2 × 3/2

x = 3/4 hours per test

This rate in hours per test is given as 3/4 hours per test

4 0
2 years ago
Please HELP!!!!
dedylja [7]
Absolute value equations have more than one solution because when the answer is in abs. value, it is positive, so there could be a negative answer and it would still be positive. For example |-5|=5 and |5|=5 as well. 
4+|2x|=-1 would have no solution because you cannot have the equation equal a negative since the 2x is in absolute value. 
8 0
3 years ago
Solve the compound inequality.<br><br> 9 – 4x ≥ 5 or 4(–1 + x) – 6 ≥ 2
Y_Kistochka [10]
X ≤ 1 and x ≥ 3
Hope this helps :)
5 0
3 years ago
-4/5(-8x+6)=1+7 Please Help
bagirrra123 [75]

Answer:

x = 2

Step-by-step explanation:

-4/5(-8x + 6) = 1 + 7 (distribute first)

6.4x -4.8 = 8 (add 4.8 on both sides)

6.4x = 12.8 (divide by 6.4)

x = 2

PLUG IN

-4/5(-8(2) + 6) = 1 + 7

-4/5(-16 + 6) = 8

-4/5(-10) = 8

8 = 8

8 0
3 years ago
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